Exam 7: Quantum Theory and Atomic Structure

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In the quantum mechanical treatment of the hydrogen atom, the functions Ψ \varPsi and Ψ \varPsi 2 both feature prominently. Briefly explain (in principle) how they are obtained and what, if anything, their physical meanings are.

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In the quantum mechanical treatment of the hydrogen atom, which one of the following combinations of quantum numbers is not allowed?

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Green light has a wavelength of 5200 Å. Calculate the energy of one photon of green light.

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Who was the first scientist to propose that the atom had a dense nucleus which occupied only a small fraction of the volume of the atom?

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The Rydberg equation, giving the wavelengths of lines in the spectrum of the hydrogen atom, was obtained by assuming that energy is quantized.

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What type of spectrum, if any, would be produced if the light radiated by a heated atomic gas were to be dispersed through a prism?

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According to the Rydberg equation, the line with the shortest wavelength in the emission spectrum of atomic hydrogen is predicted to lie at a wavelength (in nm) of:

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Which scientist first proposed that particles of matter could have wave properties?

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For potassium metal, the work function ϕ\phi (the minimum energy needed to eject an electron from the metal surface) is 3.68 * 10¯19 J. Which is the longest wavelength of the following which could excite photoelectrons?

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The size of an atomic orbital is associated with

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Contact lenses can focus light due to the _______________ of the waves.

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Select the arrangement of electromagnetic radiation which starts with the lowest energy and increases to greatest energy.

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According to the Rydberg equation, the longest wavelength (in nm) in the series of H-atom lines with n1 = 3 is

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Which word best describes the phenomenon which gives rise to a rainbow?

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An electron in the n = 6 level emits a photon with a wavelength of 410.2 nm. To what energy level does the electron move?

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In the Bohr model of the hydrogen atom, the electron moves in a circular path which Bohr referred to as an orbital.

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The following combinations of quantum numbers are not allowed. Correct each set by changing only one quantum number, and supply an appropriate corrected value. A) n = 2; l = 2; ml = 2 Corrected: ______ = ______ B) n = 4; l = -2; ml = 0 Corrected: ______ = ______

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In the photoelectric effect, a photon with an energy of 5.3*10-19 J strikes an electron in a metal. Of this energy, 3.6 *10-19 J is the minimum energy required for the electron to escape from the metal. The remaining energy appears as kinetic energy of the photoelectron. What is the velocity of the photoelectron, assuming it was initially at rest?

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The ionization energy is the energy needed to remove an electron from an atom. In the Bohr model of the hydrogen atom, this means exciting the electron to the n = \infty state. What is the ionization energy in kJ/mol, for hydrogen atoms initially in the n = 2 energy level?

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Who was the first scientist to propose that an object could emit only certain amounts of energy?

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